Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Ding Guang-tao"'
Autor:
Ding Guang-tao, Wang Guangbao
Publikováno v:
Advances in Mathematical Physics, Vol 2020 (2020)
The purpose of this paper is to illustrate the theory and methods of analytical mechanics that can be effectively applied to the research of some nonlinear nonconservative systems through the case study of two-dimensionally coupled Mathews-Lakshmanan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3148d0bdbc7954d650c71cd2919404d4
https://doi.org/10.1155/2020/2378989
https://doi.org/10.1155/2020/2378989
Publikováno v:
应用数学和力学. 38:1061-1070
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfd3fcc862bc4e254df526b5d2963a38
https://doi.org/10.21656/1000-0887.380046
https://doi.org/10.21656/1000-0887.380046
Akademický článek
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Autor:
Ding Guang-Tao
Publikováno v:
Acta Physica Sinica. 62:064501
By introducing fundamental integrals of one-dimensional linear damped oscillators the other first integrals can be constructed, including time-irrelevant integrals. The above method is extended to multidimensional systems, in order to construct diffe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c95c33bef186b8dcff0acb8aa986c4b
https://doi.org/10.7498/aps.62.064501
https://doi.org/10.7498/aps.62.064501
Autor:
Ding Guang-Tao
Publikováno v:
Acta Physica Sinica. 62:064502
A concept of fundamental integrals of one-dimensional harmonic oscillator is presented, and other integrals can be constructed by use of fundamental integrals. The above concept and method are extended to multidimensional harmonic oscillators. By dir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ec623752a808347bcfb18d1584b0de24
https://doi.org/10.7498/aps.62.064502
https://doi.org/10.7498/aps.62.064502
Autor:
Ding Guang-Tao
Publikováno v:
Acta Physica Sinica. 61:110202
By use of the method to construct the Lagrangian from the first integral, two families of Lagrangians and some Lagrangians and Hamiltonians are obtained for a class of Painleve equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be393dbb894649294cf90b65c95819ae
https://doi.org/10.7498/aps.61.110202
https://doi.org/10.7498/aps.61.110202
Autor:
Ding Guang-Tao
Publikováno v:
Acta Physica Sinica. 59:1423
In this paper, a new kind of inverse problems of Noether’s theory for Hamiltonian systems is studied. The general solution and the specific solutions of constructing the Hamiltonians and the symmetries from known first integrals by using Noether’
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ccd17f331c9c186cf41df0dc96ffdfa8
https://doi.org/10.7498/aps.59.1423
https://doi.org/10.7498/aps.59.1423
Autor:
Ding Guang-Tao
Publikováno v:
Acta Physica Sinica. 59:8326
A Birkhoffian representation of Whittaker equations is introduced. A Hamiltonian corresponding to the Birkhoffian representation is constructed. The Whittaker equations are solved by using the Hamilton-Poisson method. The difference between the above
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85c2569e047256c1592433bc6636bb85
https://doi.org/10.7498/aps.59.8326
https://doi.org/10.7498/aps.59.8326
Autor:
Ding Guang-Tao
Publikováno v:
Acta Physica Sinica. 59:3643
The Hojman method for construction of the Birkhoffian representation is discussed. By using Hojman method, the Birkhoff symmetry is restudied. A new idea of this symmetry is presented. A new proof of the Birkhoff conserved quantity is given. It is sh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::846b44ed20d42b5faea18d6b1b73190e
https://doi.org/10.7498/aps.59.3643
https://doi.org/10.7498/aps.59.3643
Autor:
Ding Guang-Tao
Publikováno v:
Acta Physica Sinica. 59:15
The Lagrangian image of the Birkhoffian representations is studied. The conditions that the second-order Lagrangians should satisfy are obtained, under which the generalized Lagrange equations are second-order differential equations. A new way for so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f61d4e1183b7146b66ddec8ce60821d
https://doi.org/10.7498/aps.59.15
https://doi.org/10.7498/aps.59.15